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Finding the Fourth Proportional to 30,117.05, 41,581.02 and 19,366.75

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Solution

The fourth proportional to 30,117.05, 41,581.02 and 19,366.75 is: 26,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,117.05 : 41,581.02 = 19,366.75 : x
  2. Step 2: Convert to fraction form
    30,117.05/41,581.02 = 19,366.75/x
  3. Step 3: Cross multiply
    30,117.05x = 41,581.02 × 19,366.75
  4. Step 4: Simplify right side
    30,117.05x = 805,289,219.09
  5. Step 5: Solve for x
    x = 805,289,219.09/30,117.05
  6. Step 6: Final answer
    x = 26,738.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.